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Block 1, of mass m1 = 5.10 kg , moves along a frictionless air track with speed vi = 31.0 m/s. It collides with block 2, of mass m2 = 15.0 kg , which was initially at rest. The blocks stick together after the collision. (Figure 1)

Block 1, of mass m1 = 5.10 kg , moves along a frictionless air track with speed vi = 31.0 m/s. It collides with block 2, of mass m2 = 15.0 kg , which was initially at rest. The blocks stick together after the collision. (Figure 1)

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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### Part A **Problem Statement:** Find the magnitude \( p_i \) of the total initial momentum of the two-block system. **Instructions:** Express your answer numerically. **Hints:** Click to view available hints. **Input Box:** - Label: \( p_i = \) - Unit: kg \(\cdot\) m/s **Button:** - Submit --- ### Part B **Problem Statement:** Find \( v_f \), the magnitude of the final velocity of the two-block system. **Instructions:** Express your answer numerically. **Hints:** Click to view available hints. **Input Box:** - Label: \( v_f = \) - Unit: m/s **Button:** - Submit --- ### Part C **Problem Statement:** What is the change \(\Delta K = K_{\text{final}} - K_{\text{initial}}\) in the two-block system's kinetic energy due to the collision? **Instructions:** Express your answer numerically in joules. **Hints:** Click to view available hints. **Input Box:** - Label: \(\Delta K =\) - Unit: J **Button:** - Submit
Transcribed Image Text:### Part A **Problem Statement:** Find the magnitude \( p_i \) of the total initial momentum of the two-block system. **Instructions:** Express your answer numerically. **Hints:** Click to view available hints. **Input Box:** - Label: \( p_i = \) - Unit: kg \(\cdot\) m/s **Button:** - Submit --- ### Part B **Problem Statement:** Find \( v_f \), the magnitude of the final velocity of the two-block system. **Instructions:** Express your answer numerically. **Hints:** Click to view available hints. **Input Box:** - Label: \( v_f = \) - Unit: m/s **Button:** - Submit --- ### Part C **Problem Statement:** What is the change \(\Delta K = K_{\text{final}} - K_{\text{initial}}\) in the two-block system's kinetic energy due to the collision? **Instructions:** Express your answer numerically in joules. **Hints:** Click to view available hints. **Input Box:** - Label: \(\Delta K =\) - Unit: J **Button:** - Submit
**Text:** Block 1, of mass \( m_1 = 5.10 \, \text{kg} \), moves along a frictionless air track with speed \( v_1 = 31.0 \, \text{m/s} \). It collides with block 2, of mass \( m_2 = 15.0 \, \text{kg} \), which was initially at rest. The blocks stick together after the collision. ([Figure 1]). **Figure Description:** - **Before collision:** - On the left, Block 1 with mass \( m_1 \) is depicted as a smaller orange block labeled "1". - It is moving towards the right with velocity \( v_1 \). - On the right, Block 2 with mass \( m_2 \) is depicted as a larger purple block labeled "2", initially at rest. - **After collision:** - Both blocks are now stuck together, depicted as one larger block with the orange block labeled "1" on the left and the purple block labeled "2" on the right. - They move together towards the right with a final velocity \( v_f \).
Transcribed Image Text:**Text:** Block 1, of mass \( m_1 = 5.10 \, \text{kg} \), moves along a frictionless air track with speed \( v_1 = 31.0 \, \text{m/s} \). It collides with block 2, of mass \( m_2 = 15.0 \, \text{kg} \), which was initially at rest. The blocks stick together after the collision. ([Figure 1]). **Figure Description:** - **Before collision:** - On the left, Block 1 with mass \( m_1 \) is depicted as a smaller orange block labeled "1". - It is moving towards the right with velocity \( v_1 \). - On the right, Block 2 with mass \( m_2 \) is depicted as a larger purple block labeled "2", initially at rest. - **After collision:** - Both blocks are now stuck together, depicted as one larger block with the orange block labeled "1" on the left and the purple block labeled "2" on the right. - They move together towards the right with a final velocity \( v_f \).
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